# Algebra

6. Jason tried cliff-diving in St. Thomas while vacationing with his family. His height as a function of time could be modeled by the
function h(t) = -16t2 + 16t + 480, where t is the time in seconds and h is the
height in feet.

a) How long did it take for Jason to reach his maximum height?

b) What was the highest point that Jason reached?

for this one i got (-1/2,476)

c) Jason hit the water after how many seconds?

1. 👍
2. 👎
3. 👁
1. a) the max is on the axis of symmetry ... t = -b / 2a = -16 / (2 * -16)

b) plug result from a) into the equation to find h

c) he hits the water when h=0 ... 0 = -16t2 + 16t + 480
... use quadratic formula to find t

1. 👍
2. 👎

## Similar Questions

1. ### Physics

A grasshopper leaps into the air from the edge of a cliff at a 50 degree angle. He reaches a maximum height 6.74 cm above the top of the cliff and travels a total horizontal distance of 1.06 m. How tall is the cliff and what is

2. ### physics

Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.97 m. The stones are thrown with the same speed of 8.50

3. ### Physics

An arrow is shot from a height of 1.4 m toward a cliff of height H. It is shot with a velocity of 28 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.6 s later. a) What is the height of the

4. ### Physics

An arrow is shot from a height of 1.5 m toward a cliff of height . It is shot with a velocity of 30 m/s at an angle of 60 deg above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the

1. ### pre-calc

analyzing the motion of a projectile: a projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees, with a muzzle velocity of 50 feet per second. the height of the projectile above the water is given

2. ### physics

A projectile is launched straight up at 54.5 m/s from a height of 88 m, at the edge of a sheer cliff. The projectile falls, just missing the cliff and hitting the ground below. (a) Find the maximum height of the projectile above

3. ### Physics

A ball is thrown toward a cliff of height h with a speed of 27m/s and an angle of 60 degrees above horizontal. It lands on the edge of the cliff 3.0s later. What is the height of the cliff? What is the maximum height of the ball?

4. ### physic

A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff? i got -29.2 m but my answer is wrong b) What was the

1. ### physics

A rock is thrown off a vertical cliff at an angle of 58.6o above horizontal. The cliff is 84.6 m high and the ground extends horizontally from the base. The initial speed of the rock is 21.8 m/s. Neglect air resistance. To what

2. ### Algebra 2

Jason loves to download music. Downloads R Us sells songs only in packages of three, and it charges \$2.00 for each package of three songs. jason's favorite group just released their Greatest Hits CD, which has 17 songs on it.

3. ### physics

Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.28 m. The stones are thrown with the same speed of 9.33

4. ### Physic

A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff? i got 26.7 m b) What was the maximum height of the